A ladder 10 m long is placed against a vertical wall

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

A ladder 10 m long is placed against a vertical wall. The top of the ladder reaches the wall at a height such that sin⁡θ=12\sin\theta=\dfrac{1}{2}, where θ\theta is the angle the ladder makes with the ground. (a) Find the value of θ\theta. (b) Calculate (1) the height above the ground at which the ladder touches the wall and (2) the horizontal distance of the foot of the ladder from the wall.

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